Question

Find the number of balls each of radius 1cm.can be made from a solid sphere of lead of 6cm.

Answer 1

Actually 6^3= 256 so 256 balls

Answer 2

Answer:

216

Step-by-step explanation:

Hi,

Let n be the number of small balls that can be made

so  

Volume of larger sphere = n × volume of  small sphere

But we know volume of sphere is given by 4/3 *π*R³

Let 'R' be the Radius of larger sphere,

Given R = 6 cm

Let 'r' be the radius of smaller sphere,

Given r = 6 cm

Volume of larger sphere

= 4/3 *π*R³  = 4/3 *π*6³

Volume of smaller sphere

= 4/3 *π*r³  = 4/3 *π*1³

But,Volume of larger sphere = n × volume of  small sphere

So 4/3 *π*6³ = n*4/3 *π*1³

n = 6³ = 216

Hence, 216 small spherical balls can be made.

Hope, it helps !